Atkin-Lehner |
2+ 3- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402d |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
39162986656432128 = 226 · 36 · 72 · 17 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-174672,26479872] |
[a1,a2,a3,a4,a6] |
j |
808476612589626625/53721518047232 |
j-invariant |
L |
1.4283279404205 |
L(r)(E,1)/r! |
Ω |
0.35708198446032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378m1 |
Quadratic twists by: -3 |